Asymptotic Behavior of Inflated Lattice Polygons
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Inflated Lattice Polygons
We study the inflated phase of two dimensional lattice polygons with fixed perimeter N and variable area, associating a weight exp[pA− Jb] to a polygon with area A and b bends. For convex and column-convex polygons, we show that 〈A〉/Amax = 1−K(J)/p̃ 2 + O(ρ), where p̃ = pN ≫ 1, and ρ < 1. The constant K(J) is found to be the same for both types of polygons. We argue that self-avoiding polygons sh...
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We study the inflated phase of two dimensional lattice polygons, both convex and column-convex, with fixed area A and variable perimeter, when a weight μ exp[−Jb] is associated to a polygon with perimeter t and b bends. The mean perimeter is calculated as a function of the fugacity μ and the bending rigidity J . In the limit μ → 0, the mean perimeter has the asymptotic behaviour 〈t〉/4 √ A ≃ 1−K...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2008
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-008-9512-4